Many thanks for your help. I could establish an I2C with the BLE nano 2.0 (nRF5x - nRF52832).
In order to trace the data sent to the BLE nano 2.0 (master reader) from an Arduino (master writer) I had to use an FTDI FT232RL USB to TTL Serial Adapter. If connect the BLE nano 2.0 with the DAPLink board to the USB port of my PC the serial communication doesn't work.
Finally, I've been able to establish a communication between a BLE nano 2.0 and an MPU-6050 module and read the data through the serial communication.
I've tried to avoid of using the "I2Cdev.h" library with the BLE nano because I get an error. So, I've used the short example sketch provided by the Arduino website (http://playground.arduino.cc/Main/MPU-6050). The obtained values don't seem being correct, they are almost random values. However, I'm still working on it and I hope of finding soon a solution.
Any suggestions is more than welcome!